Conformal Carroll groups and BMS symmetry

By C. Duval, G. W. Gibbons, P. Horváthy. 2014

399 citations recorded by the source corpus.

The Bondi–Metzner–Sachs group is shown to be the conformal extension of Lévy-Leblond’s ‘Carroll’ group. Further extension to the Newman–Unti group is also discussed in the Carroll framework.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b8b7a8f9b44fd8aeabfa619fd1b4164bc4af60e3

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In Algebra and Number Theory

In Mathematical Physics

Citations in the corpus

Gauging the Carroll algebra and ultra-relativistic gravity (2015, background): “Further, future and past null infinity form Carrollian space-times [13].”
Carrollian physics at the black hole horizon (2019, background): “Carrollian geometry emerges from an ultra-relativistic (c → 0) limit of the relativistic metric and was shown to have a rich mathematical structure and interesting dynamics [7, 9, 10, 12, 13, 16, 42].”
Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”
Flat holography: aspects of the dual field theory (2016, background): “The manifold is called a Carrollian manifold and in two dimensions, this is dual to the Newton-Cartan manifold [62].”
Carroll structures, null geometry, and conformal isometries (2019, background): “It was in particular proven [3] that the bms(d + 2) algebra is isomorphic to the conformal Carroll algebra ccarr(d + 1) for d = 1, 2.”
Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, neutral): “We do not provide a covariant formulation of this boundary term, or the boundary terms Y μν , which would require geometrical tools on boundary null surfaces [53–56] or a prescription from holographic renormalization [57, 58].”
Bridging Carrollian and celestial holography (2022, background): “This shows that the conformal Carroll algebra in 3d is isomorphic to the BMS algebra in 4d [17, 182].”
Carroll contractions of Lorentz-invariant theories (2021, background): “Actually, the introduction of a metric-preserving, symmetric affine connection was also found to be unconvenient for some purposes in [6] and the authors of [6, 20] reverted to the earlier definition of [5] without this extra connection, which turns out to be appropriate for the generalization to co”
Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids (2018, background): “on-relativistic as it decouples time and contracts the Poincaré group down to the Carroll group, as originally described in [11]. Carrollian physics has attracted some attention over the recent years [12,13]. Although kinematically restricted – due to the vanishing velocity of light, the light-cone ”
Flat holography and Carrollian fluids (2018, background): “an diffeomorphisms deﬁned as14 CCarr2 R ×S,dℓ2,u = ˆ φ ∈ Diff(R ×S), dℓ2 φ −→e−2Φdℓ2 u φ −→ eΦu ˙ , (3.41) 14The subscript 2 stands for level-2 conformal Carroll group. For a detailed discussion, see [44] . 23 where Φ ∈ C∞(R×S), dℓ2 is thespatial metric onSas in (3.1), and u = 1 Ω∂t theCarrollian ti”
Conformal Carroll groups (2014, background): “Analogous (but “dual”) definitions of a Carroll manifold can be proposed [8, 17].”